California CAASPP · Grade 11 · Math

California Grade 11 CAASPP Math Practice Test

Build Grade 11 California CAASPP Math readiness with five focused 10-question practice sets covering algebra, functions, geometry, statistics, probability, and mathematical modeling.

Grade 11 CAASPP Math practice sets

This California Grade 11 CAASPP Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets support supplemental review across algebraic reasoning, functions, geometry, statistics, probability, and mathematical modeling.

Math skills covered

  • Linear equations, polynomial expressions, quadratic equations, systems, inequalities, exponents, and circle equations
  • Function evaluation, slope, exponential models, inverse functions, average rate of change, composition, and prediction
  • Distance, circles, dilations, surface area, sectors, cones, tangents, prisms, and polygon angles
  • Standard deviation, normal distributions, sample spaces, conditional data, correlation, sampling, confidence intervals, and skew
  • Quadratic revenue and profit, compound growth, depreciation, half-life, break-even models, and optimization

How to use this page

Complete one 10-question set at a time. Show intermediate steps, check units and signs, and review the explanation for every missed or guessed answer.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current California Department of Education guidance, official CAASPP blueprints, accommodations, or testing schedules.

For the broader California assessment hub, visit California State Assessments.

1. Test

California Grade 11 CAASPP Math Practice Questions

A 10-question California Grade 11 CAASPP Math practice set on algebraic reasoning and equations, with answers and explanations.

Read each question carefully, choose one answer, and review the explanation after responding.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

Solve 3(2x − 5) = 4x + 14.

Please select an answer first.

Correct answer: A

The correct answer is x = 14.5.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Distribute to get 6x − 15 = 4x + 14; subtract 4x and add 15, giving 2x = 29 and x = 14.5.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Distribute to get 6x − 15 = 4x + 14; subtract 4x and add 15, giving 2x = 29 and x = 14.5.

2. QuestionMultiple choice

Which expression is equivalent to (x + 4)(x − 4)?

Please select an answer first.

Correct answer: B

The correct answer is x² − 16.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Use the difference of squares: (x + 4)(x − 4) = x² − 4² = x² − 16.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Use the difference of squares: (x + 4)(x − 4) = x² − 4² = x² − 16.

3. QuestionMultiple choice

What are the solutions to x² − 9x + 20 = 0?

Please select an answer first.

Correct answer: C

The correct answer is x = 4 and x = 5.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Factor as (x − 4)(x − 5) = 0, so x = 4 or x = 5.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Factor as (x − 4)(x − 5) = 0, so x = 4 or x = 5.

4. QuestionMultiple choice

Which equation has no real solutions?

Please select an answer first.

Correct answer: D

The correct answer is x² + 4 = 0.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: The equation x² = -4 requires the square root of a negative number, so it has no real solutions.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The equation x² = -4 requires the square root of a negative number, so it has no real solutions.

5. QuestionMultiple choice

Simplify (6x³y²) ÷ (2xy).

Please select an answer first.

Correct answer: A

The correct answer is 3x²y.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Divide coefficients and subtract exponents: 6 ÷ 2 = 3, x³ ÷ x = x², and y² ÷ y = y.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Divide coefficients and subtract exponents: 6 ÷ 2 = 3, x³ ÷ x = x², and y² ÷ y = y.

6. QuestionMultiple choice

Solve the system 2x + y = 11 and x − y = 1.

Please select an answer first.

Correct answer: B

The correct answer is (4, 3).

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Adding the equations gives 3x = 12, so x = 4; substituting gives y = 3.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Adding the equations gives 3x = 12, so x = 4; substituting gives y = 3.

7. QuestionMultiple choice

Which inequality represents the solution to -2x + 6 > 14?

Please select an answer first.

Correct answer: C

The correct answer is x < -4.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Subtract 6 to get -2x > 8; divide by -2 and reverse the inequality to get x < -4.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Subtract 6 to get -2x > 8; divide by -2 and reverse the inequality to get x < -4.

8. QuestionMultiple choice

A polynomial has zeros at -2, 1, and 5. Which expression could represent it?

Please select an answer first.

Correct answer: D

The correct answer is a(x + 2)(x − 1)(x − 5).

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: A zero r corresponds to a factor x − r, giving factors x + 2, x − 1, and x − 5.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

A zero r corresponds to a factor x − r, giving factors x + 2, x − 1, and x − 5.

9. QuestionMultiple choice

If 2x² = 50, what are the values of x?

Please select an answer first.

Correct answer: A

The correct answer is x = 5 and x = -5.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: Divide by 2 to get x² = 25, so x = 5 or x = -5.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Divide by 2 to get x² = 25, so x = 5 or x = -5.

10. QuestionMultiple choice

Which equation represents a circle centered at (2, -3) with radius 5?

Please select an answer first.

Correct answer: B

The correct answer is (x − 2)² + (y + 3)² = 25.

  1. Identify the task: Decide whether the question asks about algebra, functions, geometry, statistics, probability, or modeling.
  2. Use the quantities: The circle form is (x − h)² + (y − k)² = r², so h = 2, k = -3, and r² = 25.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The circle form is (x − h)² + (y − k)² = r², so h = 2, k = -3, and r² = 25.

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Frequently asked questions about California Grade 11 CAASPP Math Practice Test

Which Math skills are covered?

The page covers algebra, functions, equations, geometry, statistics, probability, mathematical modeling, and optimization for Grade 11.

How many questions are included?

There are five practice sets with 10 questions each, for 50 questions in total. Each set can be completed separately.

Are these official CAASPP questions?

No. These are original supplemental practice questions. Check the latest California Department of Education information for official materials, standards, accommodations, and policies.